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Finding the Fourth Proportional to 12,878.08, 17,761.60 and 8,403.20

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Solution

The fourth proportional to 12,878.08, 17,761.60 and 8,403.20 is: 11,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.08 : 17,761.60 = 8,403.20 : x
  2. Step 2: Convert to fraction form
    12,878.08/17,761.60 = 8,403.20/x
  3. Step 3: Cross multiply
    12,878.08x = 17,761.60 × 8,403.20
  4. Step 4: Simplify right side
    12,878.08x = 149,254,277.12
  5. Step 5: Solve for x
    x = 149,254,277.12/12,878.08
  6. Step 6: Final answer
    x = 11,589.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.